Answer:
61.13 units squared
Step-by-step explanation:
This figure is composed of a semicircle and a triangle. Let's find these areas separately:
1) SEMICIRCLE:
The area of a semicircle is: [tex]A=\frac{\pi r^2}{2}[/tex] , where r is the radius (which is the distance from the center to a point on the circle). In this case, the radius of the circle is 4. So, we have:
[tex]A=\frac{\pi *4^2}{2} =\frac{16\pi }{2} =8\pi[/tex] ≈ 25.13 units squared
2) TRIANGLE:
The area of a triangle is: [tex]A=\frac{bh}{2}[/tex] , where b is the base and h is the height. Here, the base is 8 (b = 8) and the height is 9 (h = 9). So, we have:
[tex]A=\frac{8*9}{2} =\frac{72}{2} =36[/tex] units squared
Finally, we add these two areas together:
25.13 + 36 = 61.13 units squared.
Hope this helps!
